Question

find the second order darivative of x^2e^x ? plss guys its very argent plss give me the answer.​

Answer 1

Step-by-step explanation:

$y = {x}^{2} {e}^{x}$

$\implies \frac{dy}{dx} = 2x {e}^{x} + {x}^{2} {e}^{x}$

$\implies \frac{ {d}^{2} y}{d {x}^{2} } = 2 {e}^{x} + 2x {e}^{x} + 2x {e}^{x} + {x}^{2} {e}^{x}$

$\implies \frac{ {d}^{2} y}{d {x}^{2} } = 2 {e}^{x} + 4x {e}^{x} + {x}^{2} {e}^{x}$